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23007074720 = 2557109188459
BaseRepresentation
bin10101011011010101…
…000001100110100000
32012101101212111021112
4111123111001212200
5334104302342340
614322545242452
71443064623410
oct253325014640
965341774245
1023007074720
119836991843
124561033428
1322286983a6
141183810640
158e9c5b065
hex55b5419a0

23007074720 has 96 divisors (see below), whose sum is σ = 62689334400. Its totient is φ = 7815730176.

The previous prime is 23007074659. The next prime is 23007074773. The reversal of 23007074720 is 2747070032.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27851 + ... + 216309.

It is an arithmetic number, because the mean of its divisors is an integer number (653013900).

Almost surely, 223007074720 is an apocalyptic number.

23007074720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23007074720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31344667200).

23007074720 is an abundant number, since it is smaller than the sum of its proper divisors (39682259680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23007074720 is a wasteful number, since it uses less digits than its factorization.

23007074720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188590 (or 188582 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 32.

The spelling of 23007074720 in words is "twenty-three billion, seven million, seventy-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 109 112 140 160 218 224 280 436 545 560 763 872 1090 1120 1526 1744 2180 3052 3488 3815 4360 6104 7630 8720 12208 15260 17440 24416 30520 61040 122080 188459 376918 753836 942295 1319213 1507672 1884590 2638426 3015344 3769180 5276852 6030688 6596065 7538360 10553704 13192130 15076720 20542031 21107408 26384260 30153440 41084062 42214816 52768520 82168124 102710155 105537040 143794217 164336248 205420310 211074080 287588434 328672496 410840620 575176868 657344992 718971085 821681240 1150353736 1437942170 1643362480 2300707472 2875884340 3286724960 4601414944 5751768680 11503537360 23007074720